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- W2899333491 abstract "In this paper, we study Stackelberg-Nash strategies to control a system of two coupled parabolic equations. We assume that we act in the system by means of a hierarchy of controls. First, a leader (vectorial) control achieve their objectives, and then other controls, named followers, react optimally to the leader action. We prove an observability inequality for an extended system, which yields the Stackelberg-Nash optimization. Then, we remove the action of one of the components of the leader control. In this way, we control a system of various equations by acting only on the first component." @default.
- W2899333491 created "2018-11-09" @default.
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- W2899333491 date "2018-01-01" @default.
- W2899333491 modified "2023-09-30" @default.
- W2899333491 title "Some Remarks on the Hierarchic Control for Coupled Parabolic PDEs" @default.
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- W2899333491 doi "https://doi.org/10.1007/978-3-319-97613-6_7" @default.
- W2899333491 hasPublicationYear "2018" @default.
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